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Author ID: friedman.avner Recent zbMATH articles by "Friedman, Avner"
Published as: Friedman, Avner; Friedman, A.
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Co-Authors

210 single-authored
43 Caffarelli, Luis Ángel
35 Hu, Bei
12 Chen, Xinfu
12 Velázquez, Juan J. L.
11 Reitich, Fernando
10 Alt, Hans Wilhelm
8 DiBenedetto, Emmanuele
8 McLeod, John Bryce
8 Yakubu, Abdul-Aziz
7 Fontelos López, Marco Antonio
7 Hao, Wenrui
6 Bazaliy, Borys V.
6 Cui, Shangbin
6 Kim, Yangjin
6 Ledzewicz, Urszula
6 Siewe, Nourridine
5 Anderson, Robert F. V.
5 Devinatz, Allen
5 Lai, Xiulan
5 Pinsky, Mark Allan
5 Xue, Chuan
4 Bellout, Hamid
4 Bensoussan, Alain
4 Brézis, Haïm
4 Craciun, Gheorghe
4 Huang, Chaocheng
4 Kao, Chiu-Yen
4 Lam, King-Yeung
4 Littman, Walter
4 Shinbrot, Marvin
4 Torelli, Alessandro
4 Turkington, Bruce E.
4 Vogelius, Michael S.
3 Aguda, Baltazar D.
3 Elliott, Charles M.
3 Herrero, Miguel Ángel
3 Huang, Shaoyun
3 Jiang, Lishang
3 Lacey, Andrew A.
3 Liu, Yong
3 Ross, David Stuart
2 Baiocchi, Claudio
2 Bazaliy, Yaroslaw B.
2 Chen, Duan
2 Dembele, Bassidy
2 Elliott, Robert James
2 Goel, Pranay
2 Green, J. Edward F.
2 Isakov, Victor M.
2 Jain, Harsh Vardhan
2 Kashdan, Eugene
2 Kaur, Balveen
2 Kinderlehrer, David
2 Lesinski, Gregory B.
2 Liao, Kang-Ling
2 Liu, Wenxiong
2 Lo, Wing-Cheong
2 Lungu, Edward M.
2 Marsh, Clay B.
2 Oswald, Luc
2 Ou, Biao
2 Pozzi, Gianni Arrigo
2 Satoskar, Abhay R
2 Schättler, Heinz Michael
2 Shih, Chih-Wen
2 Tao, Youshan
2 Tzavaras, Athanasios E.
2 Véron, Laurent
2 Vogel, Thomas Irvin
2 Yong, Jiongmin
2 Zhang, Jianhua
1 Aronson, Donald G.
1 Arsenescu, Razvan I.
1 Atiyah, Michael Francis
1 Bai, Xue-Feng
1 Banasiak, Jacek
1 Bao, Gang
1 Barbu, Viorel
1 Bassom, Andrew P.
1 Beckenbach, Edwin Ford
1 Bell, Jonathan
1 Bemelmans, Josef
1 Bernis, Francisco
1 Bojarski, Bogdan
1 Borisovich, Andreĭ Yur’evich
1 Borisyuk, Alla
1 Boushaba, Khalid
1 Brokate, Martin
1 Bruno, Oscar P.
1 Budd, Christopher John
1 Caligiuri, Michael A.
1 Chechkin, Gregory Aleksandrovich
1 Chiocca, E. Antonio
1 Chou, Ching-Shan
1 Conley, Elizabeth
1 Conwell, Darwin L.
1 Coskun, Huseyin
1 Crouser, Elliott D.
1 Day, Judy D.
1 de Bruijn, Nicolaas Govert
...and 112 more Co-Authors
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Serials

48 Journal of Differential Equations
46 Transactions of the American Mathematical Society
38 Archive for Rational Mechanics and Analysis
34 Indiana University Mathematics Journal
26 Journal of Mathematical Analysis and Applications
21 Journal of Mathematics and Mechanics
20 SIAM Journal on Mathematical Analysis
13 Bulletin of Mathematical Biology
13 Mathematical Biosciences and Engineering
12 Communications in Partial Differential Equations
12 Journal of Theoretical Biology
11 The IMA Volumes in Mathematics and its Applications
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Pacific Journal of Mathematics
10 SIAM Journal on Control and Optimization
10 Nonlinear Analysis. Theory, Methods & Applications
8 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Mathematical Biology
7 SIAM Journal on Applied Mathematics
5 Duke Mathematical Journal
5 Proceedings of the American Mathematical Society
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Proceedings of the National Academy of Sciences of the United States of America
5 Bulletin of the American Mathematical Society
4 Mathematical Biosciences
4 Journal of Functional Analysis
4 Journal für die Reine und Angewandte Mathematik
4 Kiberneticheskiĭ Sbornik. Novaya Seriya
4 European Journal of Applied Mathematics
4 Interfaces and Free Boundaries
3 Journal d’Analyse Mathématique
3 Acta Mathematica
3 Illinois Journal of Mathematics
3 Michigan Mathematical Journal
3 Notices of the American Mathematical Society
3 Lecture Notes in Mathematics
2 Communications on Pure and Applied Mathematics
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Polonici Mathematici
2 Mathematics of Operations Research
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quarterly of Applied Mathematics
2 Asymptotic Analysis
2 SIAM Review
2 Discrete and Continuous Dynamical Systems
2 Multiscale Modeling & Simulation
2 Journal of Biological Dynamics
2 Mathematical Modelling of Natural Phenomena
2 Lecture Notes on Mathematical Modelling in the Life Sciences
2 Oxford Graduate Texts
1 Inverse Problems
1 Israel Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Optimization
1 Journal of the Faculty of Science. Section I A
1 Journal of Optimization Theory and Applications
1 Chinese Annals of Mathematics. Series B
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Continuum Mechanics and Thermodynamics
1 Applied Mathematics. Series A (Chinese Edition)
1 Journal of Mathematical Sciences (New York)
1 Finance and Stochastics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España)
1 SIAM Journal on Control
1 Regional Conference Series in Mathematics
1 Mathematics in Industry
1 Networks and Heterogeneous Media
1 Science China. Mathematics
1 Philosophical Transactions A. Royal Society of London
1 CBMS Regional Conference Series in Mathematics
1 Springer Undergraduate Texts in Mathematics and Technology
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Fields

311 Partial differential equations (35-XX)
127 Biology and other natural sciences (92-XX)
73 Fluid mechanics (76-XX)
68 Calculus of variations and optimal control; optimization (49-XX)
39 Probability theory and stochastic processes (60-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Mechanics of deformable solids (74-XX)
27 General and overarching topics; collections (00-XX)
25 Systems theory; control (93-XX)
19 Optics, electromagnetic theory (78-XX)
18 Ordinary differential equations (34-XX)
16 Classical thermodynamics, heat transfer (80-XX)
12 Statistics (62-XX)
11 Operations research, mathematical programming (90-XX)
10 Potential theory (31-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Operator theory (47-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Integral equations (45-XX)
5 Numerical analysis (65-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

455 Publications have been cited 10,869 times in 7,962 Documents Cited by Year
Partial differential equations of parabolic type. Zbl 0144.34903
Friedman, Avner
1964
Partial differential equations. Zbl 0224.35002
Friedman, Avner
454
1969
Variational principles and free-boundary problems. Zbl 0564.49002
Friedman, Avner
387
1982
Blow-up of positive solutions of semilinear heat equations. Zbl 0576.35068
Friedman, Avner; McLeod, Bryce
341
1985
Stochastic differential equations and applications. Vol. 1. Zbl 0323.60056
Friedman, Avner
323
1975
Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143
Bernis, Francisco; Friedman, Avner
185
1990
Variational problems with two phases and their free boundary. Zbl 0844.35137
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
179
1984
Differential games. Zbl 0229.90060
Friedman, Avner
173
1971
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
162
1985
Stochastic differential equations and applications. Vol. 2. Zbl 0323.60057
Friedman, Avner
160
1976
Classes of solutions of linear systems of partial differential equations of parabolic type. Zbl 0092.31002
Friedman, Avner
140
1957
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
136
1999
Nonlinear parabolic equations involving measures as initial conditions. Zbl 0527.35043
Brézis, Haïm; Friedman, Avner
132
1983
The Stefan problem in several space variables. Zbl 0162.41903
Friedman, A.
101
1968
Convexity of solutions of semilinear elliptic equations. Zbl 0599.35065
Caffarelli, Luis A.; Friedman, Avner
95
1985
Generalized functions and partial differential equations. Zbl 0116.07002
Friedman, A.
87
1963
Variational principles and free-boundary problems. Reprint. Zbl 0671.49001
Friedman, Avner
86
1988
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
82
2000
Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions. Zbl 0631.35041
Friedman, Avner
74
1986
Regularity of the free boundary of a gas flow in an \(n\)-dimensional porous medium. Zbl 0439.76085
Caffarelli, Luis A.; Friedman, Avner
73
1980
Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Zbl 0983.35019
Friedman, Avner; Reitich, Fernando
69
2001
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
69
1984
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
66
2000
Parabolic variational inequalities in one space dimension and smoothness of the free boundary. Zbl 0295.35045
Friedman, Avner
65
1975
Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087
Friedman, Avner; Vogelius, Michael
65
1989
Foundations of modern analysis. Zbl 0198.07601
Friedman, Avner
64
1970
Blow-up of solutions of nonlinear degenerate parabolic equations. Zbl 0619.35060
Friedman, Avner; McLeod, Bryce
61
1986
The asymptotic behavior of gas in an \(n\)-dimensional porous medium. Zbl 0447.76076
Friedman, Avner; Kamin, Shoshana
59
1980
Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030
Fontelos, Marco A.; Friedman, Avner; Hu, Bei
58
2002
Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046
Evans, Lawrence C.; Friedman, Avner
57
1979
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
56
2006
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
55
1975
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
55
2007
A free boundary problem for quasi-linear elliptic equations. Zbl 0554.35129
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
54
1984
Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. Zbl 0593.35047
Caffarelli, Luis A.; Friedman, Avner
54
1985
Free boundary problems for parabolic equations. I: Melting of solids. Zbl 0089.07801
Friedman, Avner
53
1959
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
53
2003
The obstacle problem for the biharmonic operator. Zbl 0405.31007
Caffarelli, Luis A.; Friedman, Avner
52
1979
Volterra integral equations in Banach space. Zbl 0147.12302
Friedman, A.; Shinbrot, M.
51
1967
Remarks on the maximum principle for parabolic equations and its applications. Zbl 0103.06403
Friedman, Avner
51
1958
Determining cracks by boundary measurements. Zbl 0697.35165
Friedman, Avner; Vogelius, Michael
49
1989
Stability of solutions of chemotaxis equations in reinforced random walks. Zbl 1025.35005
Friedman, Avner; Tello, J. Ignacio
48
2002
On the regularity of the solutions of nonlinear elliptic and parabolic systems of partial differential equations. Zbl 0078.27702
Friedman, Avner
48
1958
A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094
Friedman, Avner
47
2004
The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049
Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L.
45
1999
Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145
Fontelos, Marco A.; Friedman, Avner
45
2003
Continuity of the density of a gas flow in a porous medium. Zbl 0425.35060
Caffarelli, Luis A.; Friedman, Avner
45
1979
Analysis of a mathematical model of the growth of necrotic tumors. Zbl 0984.35169
Cui, Shangbin; Friedman, Avner
45
2001
Foundations of modern analysis. Reprint of the 1970 orig. Zbl 0557.46001
Friedman, Avner
42
1982
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
42
2006
Stochastic differential games. Zbl 0208.39402
Friedman, Avner
42
1972
The free boundary of a semilinear elliptic equation. Zbl 0552.35079
Friedman, Avner; Phillips, Daniel
42
1984
The blow-up boundary for nonlinear wave equations. Zbl 0638.35053
Caffarelli, Luis A.; Friedman, Avner
41
1986
A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042
Friedman, Avner; Giga, Yoshikazu
41
1987
Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036
Friedman, Avner; Lolas, Georgios
40
2005
Partial differential equations of parabolic type. Zbl 0173.12701
Friedman, A.
40
1968
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
40
2008
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
40
2007
Optimal control for variational inequalities. Zbl 0604.49007
Friedman, Avner
39
1986
The time-harmonic Maxwell equations in a doubly periodic structure. Zbl 0759.35046
Dobson, David; Friedman, Avner
39
1992
A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151
Bazaliy, Borys V.; Friedman, Avner
38
2003
Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120
Bensoussan, Alain; Friedman, Avner
37
1974
Asymptotic estimates for the plasma problem. Zbl 0466.35033
Caffarelli, Luis A.; Friedman, Avner
37
1980
Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050
Friedman, Avner; Herrero, Miguel A.
37
1987
Reinforcement problems for elliptic equations and variational inequalities. Zbl 0434.35079
Brézis, Haïm; Caffarelli, Luis A.; Friedman, Avner
36
1980
Nonlinear stability of a quasi-static Stefan problem with surface tension: a continuation approach. Zbl 1072.35208
Reitich, Fernando; Friedman, Avner
36
2001
Regularity of the free boundary for the one-dimensional flow of gas in a porous medium. Zbl 0439.76084
Caffarelli, Luis A.; Friedman, Avner
36
1979
The shape of axisymmetric rotating fluid. Zbl 0439.35068
Caffarelli, Luis A.; Friedman, Avner
35
1980
On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165
Friedman, Avner; Isakov, Victor
35
1989
Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029
Bensoussan, Alain; Friedman, Avner
34
1977
On integral equations of Volterra type. Zbl 0134.31502
Friedman, A.
34
1963
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
33
1984
Differentiability of the blow-up curve for one dimensional nonlinear wave equations. Zbl 0593.35055
Caffarelli, Luis A.; Friedman, Avner
32
1985
Axially symmetric jet flows. Zbl 0515.76017
Alt, H. W.; Caffarelli, L. A.; Friedman, A.
32
1983
Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172
Friedman, Avner; Lam, King-Yeung
32
2015
Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003
Friedman, Avner
32
2006
Interior estimates for parabolic systems of partial differential equations. Zbl 0082.30402
Friedman, Avner
31
1958
Jets with two fluids. I. One free boundary. Zbl 0551.76013
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
31
1984
Vortex rings: existence and asymptotic estimates. Zbl 0497.76031
Friedman, Avner; Turkington, Bruce
31
1981
Systems of nonlinear wave equations with nonlinear viscosity. Zbl 0685.35070
Friedman, Avner; Nečas, Jindřich
30
1988
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuelle; Friedman, Avner
29
1985
A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154
Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner
27
2014
A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018
Cui, Shangbin; Friedman, Avner
27
2003
Maxwell’s equations in a periodic structure. Zbl 0727.35131
Chen, Xinfu; Friedman, Avner
27
1991
Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: an application to a model of tumor growth. Zbl 1089.35079
Bazaliy, Borys; Friedman, Avner
27
2003
Stochastic games and variational inequalities. Zbl 0285.90089
Friedman, Avner
26
1973
Asymmetric jet flows. Zbl 0515.76018
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
26
1982
Blow-up of solutions of nonlinear heat equations. Zbl 0653.35038
Caffarelli, Luis A.; Friedman, Avner
26
1988
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
25
2007
Compressible flows of jets and cavities. Zbl 0614.76074
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
25
1985
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
24
1986
Optimal control for parabolic variational inequalities. Zbl 0624.49005
Friedman, Avner
24
1987
Continuity of the temperature in the Stefan problem. Zbl 0406.35032
Caffarelli, Luis A.; Friedman, Avner
24
1979
Isometric embedding of riemannian manifolds into Euclidean spaces. Zbl 0137.14901
Friedman, A.
24
1965
One dimensional Stefan problems with nonmonotone free boundary. Zbl 0162.42001
Friedman, A.
24
1968
Jet flows with gravity. Zbl 0561.76022
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
24
1982
Asymptotic behavior of solutions of \(u_ t=\Delta u^ m\) as \(m\to \infty\). Zbl 0651.35039
Caffarelli, Luis A.; Friedman, Avner
24
1987
On the existence of spatially patterned dormant malignancies in a model for the growth of non-necrotic vascular tumors. Zbl 1013.92024
Friedman, Avner; Reitich, Fernando
23
2001
Symmetry-breaking bifurcations for free boundary problems. Zbl 1079.35012
Borisovich, Andrei; Friedman, Avner
23
2005
Analyticity of the free boundary for the Stefan problem. Zbl 0329.35034
Friedman, Avner
23
1976
Mathematical modeling of cancer treatment with radiation and PD-L1 inhibitor. Zbl 1431.35253
Lai, Xiulan; Friedman, Avner
1
2020
Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs. Zbl 1406.92312
Lai, Xiulan; Friedman, Avner
4
2019
Antagonism and negative side-effects in combination therapy for cancer. Zbl 1418.35386
Friedman, Avner; Lai, Xiulan
1
2019
Free boundary problems associated with cancer treatment by combination therapy. Zbl 1425.35240
Friedman, Avner; Lai, Xiulan
1
2019
Rheumatoid arthritis – a mathematical model. Zbl 1406.92273
Moise, Nicolae; Friedman, Avner
1
2019
The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056
Friedman, Avner; Hao, Wenrui
5
2018
Mathematical biology: modeling and analysis. Zbl 1404.92002
Friedman, Avner
2
2018
Complex role of NK cells in regulation of oncolytic virus-bortezomib therapy. Zbl 1416.92051
Kim, Yangjin; Yoo, Ji Young; Lee, Tae Jin; Liu, Joseph; Yu, Jianhua; Caligiuri, Michael A.; Kaur, Balveen; Friedman, Avner
1
2018
Mathematical model of chronic pancreatitis. Zbl 1404.92096
Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner
5
2017
The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner
4
2017
Granuloma formation in leishmaniasis: a mathematical model. Zbl 1368.92087
Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner
4
2017
Mathematical modeling of liver fibrosis. Zbl 1348.92079
Friedman, Avner; Hao, Wenrui
3
2017
Introduction to mathematical biology. Modeling, analysis, and simulations. Zbl 1351.92001
Chou, Ching-Shan; Friedman, Avner
5
2016
Free boundary problems for systems of Stokes equations. Zbl 1357.35298
Friedman, Avner
5
2016
Immune response to infection by Leishmania: a mathematical model. Zbl 1341.92042
Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R.; Friedman, Avner
4
2016
Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172
Friedman, Avner; Lam, King-Yeung
32
2015
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
20
2015
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
10
2015
Free boundary problems in biology. Zbl 1353.35291
Friedman, Avner
9
2015
Effects of CCN1 and macrophage content on glioma virotherapy: a mathematical model. Zbl 1335.92040
Jacobsen, Karly; Russell, Luke; Kaur, Balveen; Friedman, Avner
4
2015
A PDE model for the dynamics of trail formation by ants. Zbl 1311.35325
Fontelos, Marco A.; Friedman, Avner
3
2015
A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154
Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner
27
2014
Mathematical model of sarcoidosis. Zbl 1355.92049
Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner
17
2014
On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388
Friedman, Avner; Hu, Bei; Xue, Chuan
8
2014
A Bovine babesiosis model with dispersion. Zbl 1282.92019
Friedman, Avner; Yakubu, Abdul-Aziz
3
2014
On the stability of steady states in a granuloma model. Zbl 1288.35482
Friedman, Avner; Lam, King-Yeung
3
2014
Mathematical modeling of biological processes. Zbl 1302.92004
Friedman, Avner; Kao, Chiu-Yen
3
2014
Mathematical model of renal interstitial fibrosis. Zbl 1355.92050
Hao, Wenrui; Rovin, Brad H.; Friedman, Avner
1
2014
Modulation of the camp response by \(\mathrm{G}\alpha _i\) and \(\mathrm{G}\beta \gamma \): a computational study of G protein signaling in immune cells. Zbl 1298.92038
Leander, R.; Friedman, A.
1
2014
Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy. Zbl 1277.92013
Jain, Harsh Vardhan; Friedman, Avner
12
2013
Anthrax epizootic and migration: persistence or extinction. Zbl 1303.92116
Friedman, Avner; Yakubu, Abdul-Aziz
11
2013
A two-phase free boundary problem with discontinuous velocity: Application to tumor model. Zbl 1256.35208
Chen, Duan; Friedman, Avner
5
2013
Mathematical methods and models in biomedicine. Zbl 1254.92046
4
2013
Epidemiological models with seasonality. Zbl 1345.92140
Friedman, Avner
3
2013
Mathematical model of the roles of T cells in inflammatory bowel disease. Zbl 1272.92030
Lo, Wing-Cheong; Arsenescu, Razvan I.; Friedman, Avner
2
2013
A mathematical model for cell-induced gel compaction in vitro. Zbl 1257.92018
Green, J. E. F.; Bassom, Andrew P.; Friedman, Avner
2
2013
The role of CD200-CD200R in tumor immune evasion. Zbl 1330.92024
Liao, Kang-Ling; Bai, Xue-Feng; Friedman, Avner
2
2013
The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014
Friedman, Avner; Hu, Bei; Keener, James P.
1
2013
A partial differential equation model of metastasized prostatic cancer. Zbl 1268.92059
Friedman, Avner; Jain, Harsh Vardhan
1
2013
PDE problems arising in mathematical biology. Zbl 1260.49001
Friedman, Avner
11
2012
Host demographic Allee effect, fatal disease, and migration: persistence or extinction. Zbl 1273.34052
Friedman, Avner; Yakubu, Abdul-Aziz
9
2012
Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model. Zbl 1267.92043
Chen, Duan; Roda, Julie M.; Marsh, Clay B.; Eubank, Timothy D.; Friedman, Avner
8
2012
Cancer as multifaceted disease. Zbl 1241.92038
Friedman, A.
6
2012
A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076
Friedman, Avner; Hu, Bei; Xue, Chuan
6
2012
Modeling the inhibition of breast cancer growth by GM-CSF. Zbl 1337.92118
Szomolay, Barbara; Eubank, Tim D.; Roberts, Ryan D.; Marsh, Clay B.; Friedman, Avner
6
2012
Conservation laws in mathematical biology. Zbl 1258.35142
Friedman, Avner
4
2012
Asymptotic limit in a cell differentiation model with consideration of transcription. Zbl 1267.34078
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen
2
2012
Fatal disease and demographic Allee effect: population persistence and extinction. Zbl 1447.92337
Friedman, Avner; Yakubu, Abdul-Aziz
1
2012
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
7
2011
A mathematical model for chronic wounds. Zbl 1259.92043
Friedman, Avner; Xue, Chuan
7
2011
Tumor cells proliferation and migration under the influence of their microenvironment. Zbl 1259.92042
Friedman, Avner; Kim, Yangjin
6
2011
Modeling the host response to inhalation anthrax. Zbl 1405.92143
Day, Judy; Friedman, Avner; Schlesinger, Larry S.
3
2011
Interaction of tumor with its micro-environment: a mathematical model. Zbl 1197.92027
Kim, Yangjin; Friedman, Avner
15
2010
Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195
Friedman, Avner; Hu, Bei; Xue, Chuan
11
2010
Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments. Zbl 1204.92041
Kim, Yangjin; Wallace, Julie; Li, Fu; Ostrowski, Michael; Friedman, Avner
6
2010
Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine. Zbl 1191.92025
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
6
2010
Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024
Friedman, Avner; Hu, Bei; Kao, Chiu-Yen
5
2010
Mathematical modeling of preadipocyte fate determination. Zbl 1406.92145
Coskun, Huseyin; Summerfield, Taryn L. S.; Kniss, Douglas A.; Friedman, Avner
1
2010
A mathematical model for pattern formation of glioma cells outside the tumor spheroid core. Zbl 1405.92032
Kim, Yangjin; Lawler, Sean; Nowicki, Michal O.; Chiocca, E. Antonio; Friedman, Avner
16
2009
Free boundary problems associated with multiscale tumor models. Zbl 1172.35080
Friedman, A.
12
2009
Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
10
2009
Asymptotic phases in a cell differentiation model. Zbl 1173.35590
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen
5
2009
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
40
2008
Tutorials in mathematical biosciences IV. Evolution and ecology. Tutorials presented at the Mathematical Bioscience Institute (MBI) in the years 2005–2006. Zbl 1130.92002
8
2008
A multiscale tumor model. Zbl 1157.35501
Friedman, Avner
7
2008
Models of cellular regulation. Zbl 1231.92030
Aguda, Baltazar D.; Friedman, Avner
6
2008
The extensional flow of a thin sheet of incompressible, transversely isotropic fluid. Zbl 1141.76009
Green, J. Edward F.; Friedman, Avner
6
2008
The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524
Friedman, Avner; Hu, Bei
5
2008
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
2
2008
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
55
2007
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
40
2007
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
25
2007
Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006
Friedman, Avner; Hu, Bei
8
2007
Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006
Friedman, Avner; Hu, Bei
3
2007
One-dimensional free boundary problem for actin-based propulsion of Listeria. Zbl 1104.92016
Bazaliy, Borys; Bazaliy, Yaroslaw; Friedman, Avner
2
2007
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
56
2006
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
42
2006
Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003
Friedman, Avner
32
2006
A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145
Friedman, Avner
19
2006
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330
Friedman, Avner; Craciun, Gheorghe
12
2006
Homogenization of the cell cytoplasm: the calcium bidomain equations. Zbl 1128.35303
Goel, Pranay; Sneyd, James; Friedman, Avner
8
2006
Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer. Zbl 1122.92030
4
2006
Differential games. Reprint of the 1971 original ed. Zbl 1225.91011
Friedman, Avner
3
2006
Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036
Friedman, Avner; Lolas, Georgios
40
2005
Symmetry-breaking bifurcations for free boundary problems. Zbl 1079.35012
Borisovich, Andrei; Friedman, Avner
23
2005
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
17
2005
A model of intracellular transport of particles in an axon. Zbl 1068.92016
Friedman, Avner; Craciun, Gheorghe
15
2005
The Hele-Shaw problem with surface tension in a half-plane: a model problem. Zbl 1075.76022
Bazaliy, Borys V.; Friedman, Avner
13
2005
Generalized functions and partial differential equations. Reprint of the 1963 original. Zbl 1121.46001
Friedman, Avner
12
2005
The Hele-Shaw problem with surface tension in a half-plane. Zbl 1076.76028
Bazaliy, Borys V.; Friedman, Avner
11
2005
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
5
2005
Symmetry-breaking bifurcations for free boundary problems. Zbl 1075.35117
Friedman, Avner
2
2005
Mathematical analysis of a modular network coordinating the cell cycle and apoptosis. Zbl 1079.92023
Craciun, Gheorghe; Aguda, Baltazar; Friedman, Avner
1
2005
Free boundary problems with surface tension conditions. Zbl 1153.35409
Friedman, Avner
1
2005
A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094
Friedman, Avner
47
2004
Symmetry-breaking bifurcations of charged drops. Zbl 1094.76022
Fontelos, Marco A.; Friedman, Avner
17
2004
Free boundary problems arising in tumor models. Zbl 1162.35460
Friedman, Avner
5
2004
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
53
2003
Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145
Fontelos, Marco A.; Friedman, Avner
45
2003
A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151
Bazaliy, Borys V.; Friedman, Avner
38
2003
...and 355 more Documents
all top 5

Cited by 7,440 Authors

204 Friedman, Avner
53 Vazquez, Juan Luis
50 Mu, Chunlai
47 Hu, Bei
40 Winkler, Michael
39 Caffarelli, Luis Ángel
36 Shahgholian, Henrik
36 Zheng, Sining
35 Galaktionov, Victor Aleksandrovich
33 Xu, Shihe
33 Yi, Fahuai
32 Cui, Shangbin
32 Wang, Mingxin
28 Liu, Bingchen
28 Pao, Chia-Ven
27 Tao, Youshan
26 Cannon, John Rozier
26 Lin, Zhigui
25 Fasano, Antonio
25 Li, Fengjie
24 Macías-Díaz, Jorge Eduardo
24 Primicerio, Mario
23 Chen, Xinfu
23 Du, Lili
22 Peletier, Lambertus Adrianus
21 Ammari, Habib M.
21 Diaz Diaz, Jesus Ildefonso
21 Guo, Jong-Shenq
21 Shen, Wenxian
21 Souplet, Philippe
21 Velázquez, Juan J. L.
19 Herrero, Miguel Ángel
19 Rossi, Julio Daniel
19 Xie, Chunhong
18 Aronson, Donald G.
18 Du, Yihong
18 Mao, Xuerong
18 Véron, Laurent
18 Weiss, Georg Sebastian
18 Zaag, Hatem
17 Bao, Gang
17 Ding, Juntang
17 Hao, Wenrui
17 Karatzas, Ioannis
17 Yin, Hongming
16 Gao, Wenjie
16 Lions, Pierre-Louis
16 Perthame, Benoît
16 Valdinoci, Enrico
16 Yong, Jiongmin
15 Bögelein, Verena
15 DiBenedetto, Emmanuele
15 Escher, Joachim
15 Ishige, Kazuhiro
15 Kamin, Shoshana
15 Lesnic, Daniel
15 Mingione, Giuseppe
15 Taranets, Roman M.
15 Wu, Junde
15 Yin, Jingxue
14 Bertsch, Michiel
14 Chechkin, Gregory Aleksandrovich
14 Cheng, Jianfeng
14 Kang, Hyeonbae
14 Tarzia, Domingo Alberto
13 Karakhanyan, Aram L.
13 Lee, Ki-Ahm
13 Lenhart, Suzanne M.
13 Pascucci, Andrea
13 Qi, Yuanwei
13 Rodríguez-Bernal, Aníbal
13 Salsa, Sandro
13 Vasylyeva, Nataliya V.
13 Yang, Zhou
13 Zheng, Pan
12 Alessandrini, Giovanni
12 Ambrazevičius, Algirdas
12 Bandle, Catherine
12 Bellomo, Nicola
12 Beretta, Elena
12 De Angelis, Tiziano
12 Fila, Marek
12 Menozzi, Stéphane
12 Merle, Frank
12 Prüß, Jan Wilhelm
12 Suzuki, Takashi
12 Tesei, Alberto
11 Amann, Herbert
11 Bai, Meng
11 Brenner, Susanne Cecelia
11 Cao, Daomin
11 Ekström, Erik
11 Gol’dman, Nataliya L’vovna
11 Hayashi, Nakao
11 Hu, Guanghui
11 Kawohl, Bernd
11 Kim, Kwang Ik
11 King, John Robert
11 Ledzewicz, Urszula
11 Quirós Gracián, Fernando
...and 7,340 more Authors
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Cited in 638 Serials

487 Journal of Differential Equations
468 Journal of Mathematical Analysis and Applications
217 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
214 Archive for Rational Mechanics and Analysis
191 Transactions of the American Mathematical Society
167 Nonlinear Analysis. Theory, Methods & Applications
150 Communications in Partial Differential Equations
116 Applicable Analysis
104 Calculus of Variations and Partial Differential Equations
98 Nonlinear Analysis. Real World Applications
97 Annali di Matematica Pura ed Applicata. Serie Quarta
97 Journal of Functional Analysis
94 Applied Mathematics and Computation
87 Proceedings of the American Mathematical Society
86 Applied Mathematics and Optimization
85 Journal of Computational and Applied Mathematics
84 Mathematical Methods in the Applied Sciences
81 Journal of Optimization Theory and Applications
79 ZAMP. Zeitschrift für angewandte Mathematik und Physik
77 Journal of Mathematical Sciences (New York)
75 Computers & Mathematics with Applications
74 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
70 Discrete and Continuous Dynamical Systems. Series B
68 SIAM Journal on Mathematical Analysis
66 Stochastic Processes and their Applications
65 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
65 Journal de Mathématiques Pures et Appliquées. Neuvième Série
63 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
62 Journal of Mathematical Biology
61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
59 Discrete and Continuous Dynamical Systems
58 Mathematische Zeitschrift
53 Boundary Value Problems
52 Mathematische Annalen
51 Communications in Mathematical Physics
51 Stochastic Analysis and Applications
45 Bulletin of Mathematical Biology
45 Journal of Theoretical Biology
43 The Annals of Applied Probability
40 Applied Mathematics Letters
39 Mathematics of Computation
39 Probability Theory and Related Fields
39 Journal of Evolution Equations
38 European Journal of Applied Mathematics
38 NoDEA. Nonlinear Differential Equations and Applications
37 Numerische Mathematik
36 Stochastics
36 Advances in Mathematics
35 Journal of Mathematical Physics
35 Siberian Mathematical Journal
35 Acta Applicandae Mathematicae
35 Journal of Dynamics and Differential Equations
33 Journal d’Analyse Mathématique
33 Manuscripta Mathematica
32 Journal of Computational Physics
31 Differential Equations
30 Ukrainian Mathematical Journal
30 SIAM Journal on Control and Optimization
30 Mathematical and Computer Modelling
29 Israel Journal of Mathematics
29 Communications on Pure and Applied Analysis
28 Mathematical Notes
27 Numerical Functional Analysis and Optimization
27 Bulletin of the American Mathematical Society
26 Mathematical Biosciences
26 Czechoslovak Mathematical Journal
26 Rendiconti del Seminario Matematico della Università di Padova
25 The Annals of Probability
25 Quarterly of Applied Mathematics
25 SIAM Journal on Applied Mathematics
25 Discrete and Continuous Dynamical Systems. Series S
24 Computer Methods in Applied Mechanics and Engineering
24 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
23 Communications on Pure and Applied Mathematics
23 Zeitschrift für Analysis und ihre Anwendungen
23 Physica D
23 Acta Mathematicae Applicatae Sinica. English Series
23 Potential Analysis
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Rocky Mountain Journal of Mathematics
22 Applied Numerical Mathematics
22 The Journal of Geometric Analysis
22 Doklady Mathematics
22 Mathematical Biosciences and Engineering
21 International Journal of Control
21 Journal of Applied Mathematics and Mechanics
21 Duke Mathematical Journal
21 Journal of Soviet Mathematics
21 Journal of Scientific Computing
21 Science China. Mathematics
20 Applied Mathematical Modelling
20 Acta Mathematica Sinica. English Series
20 Advances in Difference Equations
19 Acta Mathematica
19 Systems & Control Letters
19 Chinese Annals of Mathematics. Series B
19 Japan Journal of Industrial and Applied Mathematics
19 Finance and Stochastics
19 Journal of Mathematical Fluid Mechanics
...and 538 more Serials
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Cited in 57 Fields

5,468 Partial differential equations (35-XX)
977 Biology and other natural sciences (92-XX)
951 Probability theory and stochastic processes (60-XX)
858 Fluid mechanics (76-XX)
788 Numerical analysis (65-XX)
764 Calculus of variations and optimal control; optimization (49-XX)
568 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
414 Systems theory; control (93-XX)
377 Ordinary differential equations (34-XX)
332 Operator theory (47-XX)
315 Mechanics of deformable solids (74-XX)
266 Classical thermodynamics, heat transfer (80-XX)
213 Integral equations (45-XX)
169 Dynamical systems and ergodic theory (37-XX)
159 Global analysis, analysis on manifolds (58-XX)
149 Statistical mechanics, structure of matter (82-XX)
148 Functional analysis (46-XX)
132 Differential geometry (53-XX)
131 Optics, electromagnetic theory (78-XX)
129 Potential theory (31-XX)
97 Operations research, mathematical programming (90-XX)
71 Real functions (26-XX)
69 Statistics (62-XX)
55 Quantum theory (81-XX)
40 Measure and integration (28-XX)
40 Computer science (68-XX)
39 Harmonic analysis on Euclidean spaces (42-XX)
33 Information and communication theory, circuits (94-XX)
32 Geophysics (86-XX)
29 Approximations and expansions (41-XX)
27 Difference and functional equations (39-XX)
27 Astronomy and astrophysics (85-XX)
24 Functions of a complex variable (30-XX)
24 Mechanics of particles and systems (70-XX)
22 Integral transforms, operational calculus (44-XX)
20 Relativity and gravitational theory (83-XX)
14 General and overarching topics; collections (00-XX)
13 Convex and discrete geometry (52-XX)
10 History and biography (01-XX)
10 Nonassociative rings and algebras (17-XX)
10 Several complex variables and analytic spaces (32-XX)
10 General topology (54-XX)
9 Manifolds and cell complexes (57-XX)
8 Topological groups, Lie groups (22-XX)
8 Special functions (33-XX)
7 Combinatorics (05-XX)
7 Abstract harmonic analysis (43-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Number theory (11-XX)
4 Group theory and generalizations (20-XX)
3 Algebraic geometry (14-XX)
3 Geometry (51-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)

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